Question

At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.

Answer 1

Answer:

Yes, the cost, y, in dollars and the amount of yogurt, x, proportional.

X is directly proportion to y.

Step-by-step explanation:

Given data:

X1 = 32-oz

y1 = $2.56

x2 = 6-oz

y2 = $0.48

Prove x ∝ y

Solution:

Assume that Prove x ∝ y

So,             x = k.y

                 k = x/y

Now K is the proportionality constant and its value can be known by putting the values of x1 and y1 in above equation:

k = 32-oz/$2.56 = 12.5

Proportionality constant = 12.5

Explanation of x ∝ y:

x is directly proportional to the y. to explain this lets put the value of y2 and k in equation. if the calculated value of x is equal to given value than the x is directly proportional to y.

Equation: x = k.y

By putting values in equation:

x = 12.5 × 0.48 = 6

x = x2(6-oz)

Which is equal to x2.

Hence proved that x ∝ y.